The number of vehicles stuck in the traffic is 1152 .
In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
It is given that,
60% of the traffic consists of cars = 0.6
40% of the traffic consists of trucks = 0.7
average distance between vehicles is 3 feet
average length of a car is 13.5 feet
average length of a truck is 20 feet
There are 5280 feet in 1 mile
Let 'n' be the total number of vehicles stuck in the traffic jam.
So, according to question we get the following equation
0.6n*13.5 + 0.7n*20 + 6n - 3 = 6*5280
⇒ 8.1n + 14n + 6n -3 = 31680
⇒ 28.1n = 31680 + 3
⇒ 28.1n = 31683
or, n = 31683/28.1
or, n = 1127.50
or, n ≈ 1128
So the closest option is 1152 vehicles.
Hence,The number of vehicles stuck in the traffic is 1152 .
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